Home
Class 12
MATHS
If vece(1),vece(2),vece(3)and vecE(1),ve...

If `vece_(1),vece_(2),vece_(3)and vecE_(1),vecE_(2),vecE_(3)` arwe two sets of vectors such that `vece_(1).vecE_(j)=1, if and vece_(i).vecE_(j)=0 andif i nej, " the prove that " [vece_(1)vece_(2)vece_(3)][vecE_(1)vecE_(2)vecE_(3)]=1`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If vece_(1) = ( 1,1,1) and vece_(2) = ( 1,1,-1) and veca and vecb are two vectors that vece_(1) = 2veca +vecb and vece_(2) veca + 2vecb then angle between veca and vecb is

How are electric vector (vecE) , magnetic vector (vecB) velocity vector (vecC) oriented in an electromagnetic wave?

How are electric vector (vecE), magnetic vector (vecB) velocity vector (vecc) oriented in an electromagnetic wave?

A Gaussian surface S encloses two charges q_(1)= q and q_(2) = -q the field at p is where vecE_(1), vecE_(2)and vecE_(3) are the field contributed by q_(1),q_(2)and q_(3)at P respectively.

[vecaxx vecb " " vecc xx vecd " " vecexx vecf] is equal to (a) [veca vecb vecd] [vecc vece vecf]-[veca vecb vecc] [vecd vece vecf] (b) [veca vecb vece ] [vecf vecc vecd] - [veca vecb vecf] [vece vecc vecd] (c) [vecc vecd veca] [vecb vece vecf] - [veca vecd vecb] [vecavece vecf] (d) [veca vecc vece] [vecb vecd vecf]

if vecE=E_(0)cos(kz)cos(omegat)hati then vec(B) for electromagentic wave is

A dipole of moment vecp is placed in a uniform electric field vecE . The force on the dipole is vecF and the torque is vec(tau)

An electron projectes with velocity vecv=v_(0)hati in the electric field vecE=E_(0)hatj . There the path followed by the electron E_(0) .

The net field vecE due to the uniformly charged rod at P makes angles theta_(1) and theta_(2) with AP and BP respectively. Then find the value of theta_(1)//theta_(2)

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. O A B C is regular tetrahedron in which D is the circumcentre of O...

    Text Solution

    |

  2. In the quadrilateral ABCD, the diagonals AC and BD are equal and perpe...

    Text Solution

    |

  3. If vece(1),vece(2),vece(3)and vecE(1),vecE(2),vecE(3) arwe two sets of...

    Text Solution

    |

  4. Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=...

    Text Solution

    |

  5. Given the vectors vec A , vec B ,a n d vec C form a triangle such tha...

    Text Solution

    |

  6. If vec a , vec ba n d vec c are three mutually perpendicular vecto...

    Text Solution

    |

  7. Let a three dimensional vector vec V satisfy the condition, 2 vec ...

    Text Solution

    |

  8. If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and ...

    Text Solution

    |

  9. Let vec O A= vec a , hat O B=10 vec a+2 vec ba n d vec O C= vec b ,w ...

    Text Solution

    |

  10. If vec a , vec b , vec c are unit vectors such that vec a. vec b=0= ...

    Text Solution

    |

  11. If vec x , vec y are two non-zero and non-collinear vectors satisfy...

    Text Solution

    |

  12. Let vec a=alpha hat i+2 hat j-3 hat k , vec b=alpha hat i+2alpha hat ...

    Text Solution

    |

  13. Let vec a , vec b a n d vec c be three vectors having magnitudes 1...

    Text Solution

    |

  14. Two vectors in space are equal only if they have equal component in ...

    Text Solution

    |

  15. Let vec a= hat i- hat j , vec b= hat j- hat ka n d vec c= hat k- hat ...

    Text Solution

    |

  16. If vectors vec aa n d vec b are two adjacent sides of a parallelogr...

    Text Solution

    |

  17. If vec axx( vec bxx vec c) is perpendicular to ( vec axx vec b)xx vec...

    Text Solution

    |

  18. [(vecaxxvecb) (veccxxvecd) (vecexxvecf)]is equal to (a)[vecavecbvec...

    Text Solution

    |

  19. vec ba n d vec c are non-collinear if vec axx( vec bxx vec c)+( vec a...

    Text Solution

    |

  20. If veca and vecb are unit vectors, then angle between veca ...

    Text Solution

    |